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Fourier Series Approach for the Vibration of Euler–Bernoulli Beam under Moving Distributed Force: Application to Train Gust
Joint Authors
Li, Feng
Zhao, Weigang
Wang, Shupeng
Du, Yanliang
Zhang, Guangyuan
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-26
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The dynamic response of an Euler–Bernoulli beam under moving distributed force is studied.
By decomposing the distributed force into Fourier series and extending them to semi-infinite sine waves, the complex procedure for solving this problem is simplified to three base models, which are calculated by the modal superposition method further.
The method is proved to be highly accurate and computational efficient by comparing with the finite element method.
For verifying the theory and exploring the relationship between dynamic pressure due to train gust and vibration of the structure, a site test was conducted on a platform canopy located on the Beijing-Shanghai high-speed railway in China.
The results show the theory can be used to evaluate the dynamic response of the beam structure along the trackside due to the train gust.
The dynamic behavior of a 4-span continuous steel purlin is studied when the structure is subjected to the moving pressure due to different high-speed train passing.
American Psychological Association (APA)
Wang, Shupeng& Zhao, Weigang& Zhang, Guangyuan& Li, Feng& Du, Yanliang. 2019. Fourier Series Approach for the Vibration of Euler–Bernoulli Beam under Moving Distributed Force: Application to Train Gust. Shock and Vibration،Vol. 2019, no. 2019, pp.1-21.
https://search.emarefa.net/detail/BIM-1211048
Modern Language Association (MLA)
Wang, Shupeng…[et al.]. Fourier Series Approach for the Vibration of Euler–Bernoulli Beam under Moving Distributed Force: Application to Train Gust. Shock and Vibration No. 2019 (2019), pp.1-21.
https://search.emarefa.net/detail/BIM-1211048
American Medical Association (AMA)
Wang, Shupeng& Zhao, Weigang& Zhang, Guangyuan& Li, Feng& Du, Yanliang. Fourier Series Approach for the Vibration of Euler–Bernoulli Beam under Moving Distributed Force: Application to Train Gust. Shock and Vibration. 2019. Vol. 2019, no. 2019, pp.1-21.
https://search.emarefa.net/detail/BIM-1211048
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1211048